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Simplifying 0.15(2p + 1.5) = 11.5 Reorder the terms: 0.15(1.5 + 2p) = 11.5 (1.5 * 0.15 + 2p * 0.15) = 11.5 (0.225 + 0.3p) = 11.5 Solving 0.225 + 0.3p = 11.5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.225' to each side of the equation. 0.225 + -0.225 + 0.3p = 11.5 + -0.225 Combine like terms: 0.225 + -0.225 = 0.000 0.000 + 0.3p = 11.5 + -0.225 0.3p = 11.5 + -0.225 Combine like terms: 11.5 + -0.225 = 11.275 0.3p = 11.275 Divide each side by '0.3'. p = 37.58333333 Simplifying p = 37.58333333
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